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最大功率下量子爱因斯坦引擎的效率及其界限

Efficiency and its bounds for a quantum Einstein engine at maximum power.

作者信息

Yan H, Guo Hao

机构信息

Department of Physics, Indiana University/IUCF, 2401 Milo B Sampson Lane, Bloomington, Indiana 47408, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Nov;86(5 Pt 1):051135. doi: 10.1103/PhysRevE.86.051135. Epub 2012 Nov 27.

DOI:10.1103/PhysRevE.86.051135
PMID:23214766
Abstract

We study a quantum thermal engine model for which the heat transfer law is determined by Einstein's theory of radiation. The working substance of the quantum engine is assumed to be a two-level quantum system of which the constituent particles obey Maxwell-Boltzmann (MB), Fermi-Dirac (FD), or Bose-Einstein (BE) distributions, respectively, at equilibrium. The thermal efficiency and its bounds at maximum power of these models are derived and discussed in the long and short thermal contact time limits. The similarity and difference between these models are discussed. We also compare the efficiency bounds of this quantum thermal engine to those of its classical counterpart.

摘要

我们研究了一种量子热机模型,其热传递定律由爱因斯坦辐射理论确定。假设量子发动机的工作物质是一个两能级量子系统,在平衡态时,其组成粒子分别服从麦克斯韦 - 玻尔兹曼(MB)、费米 - 狄拉克(FD)或玻色 - 爱因斯坦(BE)分布。在长、短热接触时间极限下,推导并讨论了这些模型的热效率及其最大功率下的界限。讨论了这些模型之间的异同。我们还将这种量子热机的效率界限与其经典对应物的效率界限进行了比较。

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